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Now the only slice that remains is the yellow slice, and any modification to this slice requires upsetting the previous work (at least temporarily).

The first step in solving the yellow slice is to get the yellow cross, without worrying about the side colors of the cross (this allows us more freedom for solving the yellow corners). From now on, the yellow slice will always be on top (the easiest face to see when holding the cube).

If the yellow cross isn't already face up, ask yourself, "How can I perturb the yellow slice while not disturbing my previous work?" Two three-move-sequences using three faces total will do the trick.

Two algorithms to consider:

FUR U'R'F' (the 'undo' algorithm for algorithm 2)
What it does: West cubie is unchanged, North cubie moves to East and faces same way, East cubie moves to South and flips faces, South cubie moves to North and flips faces.

FRU R'U'F' (the 'undo' algorithm for algorithm 1)
What it does: West cubie is unchanged, East cubie moves to North and faces same way, North cubie moves to South and flips faces, South cubie moves to East and flips faces.

Possible scenarios:

All four yellow edge pieces facing up - you're done.

A yellow "L" shape on top - requires one iteration of one of the above algorithms (with proper initial placement of the "L").

A yellow line on top - requires one iteration of one of the above algorithms (with proper initial placement of the yellow line).

No yellow edge pieces facing up - must first do one algorithm to create a yellow "L" or a yellow line, then do the other algorithm. This is of course the worst-case scenario for this step.

Think about the prime setups for the above algorithms - what alignment of yellow edge pieces allows the yellow cross to be created in one iteration for algorithms 1 and 2? Figuring this out for yourself will give you a satisfying intimacy with the algs. I would also recommend tracing along the paths of all relevant cubies as you perform them for algs 1 and 2 (despite the fact that I gave you the results for each above).

I would like to add that once one performs FUR of FRU, the second 3-move combo required of each is intuitive. So really all one needs to memorize are FUR and FRU for this step, and also that the West yellow edge cubie does not change for each alg.

Answers to above questions (better to figure out on your own!): FUR U'R'F' produces the yellow cross from a yellow "L" in West, Center, North. FRU R'U'F' produces the yellow cross from a yellow horizontal line.

Since these algorithms are the 'undo' versions of each other, either one is capable of solving the yellow cross on its own. However, it will usually require more iterations (three in the case of the no yellow edges up scenario, and two if the inappropriate setup of two yellow edges facing up scenario occurs). FUR U'R'F' can create the yellow "L" from the yellow line, and FRU R'U'F' can create the yellow line from the yellow "L". However, optimizing this step requires the mastery of both algorithms for both speed and economy of turns (which tend to go hand in hand).

Good luck!

link to Step 1 of 7 - the white crosslink to Step 5 of 7 - the yellow corners (unmatched)